20827064288481 has 64 divisors (see below), whose sum is σ = 30498528153600. Its totient is φ = 12537512064000.

The previous prime is 20827064288431. The next prime is 20827064288483. The reversal of 20827064288481 is 18488246072802.

It is a happy number.

It is not a de Polignac number, because 20827064288481 - 2¹⁵ = 20827064255713 is a prime.

It is a super-2 number, since 2×20827064288481² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20827064288483) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7435580281 + ... + 7435583081.

It is an arithmetic number, because the mean of its divisors is an integer number (476539502400).

Almost surely, 2^{20827064288481} is an apocalyptic number.

It is an amenable number.

20827064288481 is a deficient number, since it is larger than the sum of its proper divisors (9671463865119).

20827064288481 is a wasteful number, since it uses less digits than its factorization.

20827064288481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5030.

The product of its (nonzero) digits is 22020096, while the sum is 60.

The spelling of 20827064288481 in words is "twenty trillion, eight hundred twenty-seven billion, sixty-four million, two hundred eighty-eight thousand, four hundred eighty-one".